Its not a full questions...... send the full question
Answer:
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- <u><em>Event A: 1/35</em></u>
- <u><em>Event B: 1/840</em></u>
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Explanation:
<u>Event A</u>
For the event A, the order of the first 4 acts does not matter.
The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.
Thus, the number of ways that the first <em>four acts</em> can be scheduled is:


And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).
Therefore the<em> probability of Event A</em> is:

Event B
Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.
The number of ways in which <em>four acts </em>can be scheculed when the order matters is:


The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)
Therefore, <em>the probability of Event B</em> is:

So you want to plug in the height for h and solve for t
36 = -16t^2+14t+36
So you get 14/16 which simplifies to
7/8 seconds
Hope this helped!
Answer:
She deposited $7500. So it is the principal.
At the end of years, she had total of $8700.
So the total amount is $8700 and the time period is 2 years.
Interest = Total amount - principal = $8700 - $7500 = $1200
We need the rate of interest.
we know that Interest = PTR/100
⇒1200 = 7500*2*R/100
⇒R = 1200*100/7500*2
⇒R = 120000/15000 = 8%
Rate of interest is 8%
Step-by-step explanation: